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lisabon 2012 [21]
2 years ago
11

Determine whether the equation defines y as a function of x. y = 2x + 8

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
6 0
We have that
y = 2x + 8
for x=1-----------> y=2*1+8=10
for x=2-----------> y=2*2+8=12
for x=3-----------> y=2*3+8=14
.
.
.

the equation y = 2x + 8 ----------- > defines y as a function of x, because <span>for each x there is only one value of y</span>.

the answer is
yes, the equation y = 2x + 8 defines y as a function of x
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The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?
neonofarm [45]

Area of three rectangles

  • 3LB
  • 3(8)(6)
  • 24(6)
  • 144units²

Area of two triangles

  • 1/2(6)(4)
  • 3(4)
  • 12units²

Total

  • 144+12
  • 156units²
5 0
2 years ago
The mass of the Earth is 5.972x10^24 kg. the mass of the moon is 7.3 x 10^22kg. find the total mass, in kg, of the Earth and the
torisob [31]

Answer:

6045000000000000000000000 kg.

Step-by-step explanation:

We have been given that the mass of Earth is 5.972\times10^{24} kg. The mass of the Moon is 7.3\times10^{22} kg.

To find the total mass we will add mass of Earth and Moon.

First of all let us convert the given masses in standard form.

5.972\times10^{24}=5972000000000000000000000  

7.3\times10^{22}=73000000000000000000000

5.972\times10^{24}+7.3\times10^{22}  

5972000000000000000000000+73000000000000000000000

6045000000000000000000000

Therefore, the mass of Earth and Moon is 6045000000000000000000000 kg.

8 0
2 years ago
Please help me with this problem..
IceJOKER [234]

Answer:

8

Step-by-step explanation:

The 110 degree angle is oppoiste to the angle across it.

Using PLT-C the other angle on the bottom of it should be 70 degrees.

since the 70 degrees is on a straight angle the angle beside it should 110

14(8)-2 = 110

5 0
2 years ago
the Wall Street Journal reported that automobile crashes cost United States $162 billion annually. The average cost per person f
Tanya [424]

Answer:

a) Margin of error = 166.311

b) sample size ≥ 62

Step-by-step explanation:

Given:

Average cost = $1599

Sample size = 50 persons

Standard deviation = $600

Confidence level is 95%

a) Margin of error = z\frac{\sigma}{\sqrt{n}}

Now for confidence level of 95% z-value = 1.96

Thus,

Margin of error = 1.96\frac{600}{\sqrt{50}}

or

Margin of error = 166.311

b) For Margin of error ≤ 150

z\frac{\sigma}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{150} ≤ √n

or

√n ≥ 7.84

or

n ≥ 61.4656

Therefore,

sample size ≥ 62

6 0
3 years ago
Line BC= 2.7cm, Line Ac= 1.1cm, Angle C = 90 Solve the tirangle
liraira [26]
<span>The correct solution to this mathematical problem is AB2=BC2+AC2 or AB is a square root from the addition of the exponential values from both BC and AC. The final result is AB= 2.91547594742. It is easy to get the result by calculating the square root from the addition of the exponentiations of the values from the two sides of the triangle that we already have. We already have the value from BC=2,7 and AC=1,1, the angle C is 90 degrees. The equation comes from the old Pitagoras theorem which says that in a right triangle or triangle in which one of the angles is 90 degrees the exponential value of the hypotenuse is equal to the addition of the exponential values from the other two sides of this triangle. As for the other angles of this triangle, angle A and angle B we can find their values using this equation sinA=BC/AB and sinB=AC/AB or angle which are also applicable for right triangles. The function sin is a proportion from the opposite side of a right angle in the triangle and the hypotenuse of the same triangle. According to these equations the value of angle A is 67 degrees and angle B is 23 degrees. To verify the result from this equation we can use the rule that says the result from the addition of the three angles from each triangle should always be 180 degrees. In this case angle A + angle B + angle C = 67+23+90 = 180, which means that we got the right answer.</span>
3 0
3 years ago
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